Choose the best definition for the following term: substitution

2 answers:

8 0

The best definition for the term substitution would be...

the action of replacing someone or something with another person or thing.

vovangra [49]2 years ago

4 0

The word “ substitution " means that to use something new or different instead of something else. Also, it can use in math,too. For example,
I have two slope intercept form

y-2x=6

-y-4x=24

Now, we just need to substitute the two of them to find x and y

-y-4x=24
+
y-2x=6
=
-6x=30
x=-5
Then, replace variable if x in one of them to find y

y-2x=6
y-2(-5)=6
y+10=6
y=6-10
y=-4. Hope it help!

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Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

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Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$